论文标题
Iwahori-Hecke代数的开放问题
Open problems on Iwahori-Hecke algebras
论文作者
论文摘要
我们在Iwahori-Hecke代数上陈述了四个开放问题。第一个指出,在索利维尔德作品中出现的一些代数与一些明确的Hecke代数之间出现的关系中出现了一个关系。第二个是有界的猜想。第三个是渐近hecke代数的明确定义性的猜想。第四个涉及Weyl群中的积极共轭类。
We state four open problems on Iwahori-Hecke algebras. The first one states a relation between some algebras appearing in Solleveld's work and some explicit Hecke algebras appearing in the study of unipotent representations. The second one is a boundedness conjecture. The third one is a conjecture of well-definedness of an asymptotic Hecke algebra. The fourth one concerns positive conjugacy classes in a Weyl group.